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Finding the Fourth Proportional to 5,089.89, 7,630.84 and 3,425.85

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Solution

The fourth proportional to 5,089.89, 7,630.84 and 3,425.85 is: 5,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.89 : 7,630.84 = 3,425.85 : x
  2. Step 2: Convert to fraction form
    5,089.89/7,630.84 = 3,425.85/x
  3. Step 3: Cross multiply
    5,089.89x = 7,630.84 × 3,425.85
  4. Step 4: Simplify right side
    5,089.89x = 26,142,117.50
  5. Step 5: Solve for x
    x = 26,142,117.50/5,089.89
  6. Step 6: Final answer
    x = 5,136.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.